CHAPTER 10

(A) Main Concepts and ResultsCircle, radius, diameter, chord, segment, cyclic quadrilateral. Equal chords of a circle (or of congruent circles) subtend equal angles at thecentre, If the angles subtended by the chords of a circle (or of congruent circles) at thecentre (or centres) are equal, then the chords are equal, The perpendicular drawn from the centre of the circle to a chord bisects the chord, The line drawn through the centre of a circle bisecting a chord is perpendicular tothe chord, There is one and only one circle passing through three given non-collinear points, Equal chords of a circle (or of congruent circles) are equidistant from the centre(or centres), Chords equidistant from the centre of a circle are equal in length, If two chords of a circle are equal, then their corresponding arcs are congruentand conversely, if two arcs are congruent, then their corresponding chords areequal, Congruent arcs of a circle subtend equal angles at the centre, The angle subtended by an arc at the centre is double the angle subtended by it atany point on the remaining part of the circle , Angles in the same segment of a circle are equal, If a line segment joining two points subtends equal angles at two other points lyingon the same side of the l

(A) Main Concepts and Results Circle, radius, diameter , chord, segment, cyclic quadrilateral. • Equal chords of a circle (or of congruent circles) subtend equal angles at the

Tags:

  Glean, Circle, Quadrilaterals, Cyclic quadrilateral, Cyclic

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